Solve 6x + 6 = −6

The solution of 6x + 6 = −6 is x = -2.

6x + 6 = -6\ \Rightarrow\ x = -2

Explain it step by step in chat Make a short video of it

The lines y = 6x + 6 and y = -6 meet at x = -2. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.
$6x + 6 = -6$
2
Subtract 6 from both sides:
$6x + 6 - 6 = -6 - 6 \ \Rightarrow\ 6x = -12$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-12}{6} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$6\cdot(-2) + 6 = -12 + 6 = -6 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 6 = -6\ \Rightarrow\ x = -2 \]
\[ 6x + 6 = -6 \]
\[ 6x + 6 - 6 = -6 - 6 \ \Rightarrow\ 6x = -12 \]
\[ \frac{6x}{6} = \frac{-12}{6} \ \Rightarrow\ x = -2 \]
\[ 6\cdot(-2) + 6 = -12 + 6 = -6 \checkmark \]

Trying values of x in 6x + 6 = −6

x	6x + 6	Equals -6?
-4	-18	no
-3	-12	no
-2	-6	yes
-1	0	no
0	6	no

Questions

What is x in 6x + 6 = −6?

The solution of 6x + 6 = −6 is x = -2.

How do you solve 6x + 6 = −6?

Subtract 6 from both sides to get 6x = -12, then divide both sides by 6 to get x = -2.

How do I check the answer?

Replace x by -2: 6(-2) + 6 = -6, which is -6.

Solve 6x + 6 = −6

How to work it out

Trying values of x in 6x + 6 = −6

Questions

Similar equations